How can we investigate complementary and supplementary angles?

The ones digit number is 6 of the number 22006.

Now, According to the question:

In a two-digit number, the value of the digit depends on its position in that number. At one's place, the digit which is at the extreme right is known to be like one's, whereas the digit placed at the leftmost is known to be at ten's.

We have to find the ones digit in the number 22006

Now, Considering the number is 22006

So, the ones digit number is 6

It means the last digit is the ones digit number.

In the Indian numeral system, the place values of digits go in the sequence of Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores and so on.

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Answer:

Circumference = 25.14 cm

Area = 50.28 cm²

Step-by-step explanation:

∴ Circumference = 2πr

⇒C = (2) (22/7) (4)

⇒C = 25.14 cm

∴ Area = πr²

⇒A = (22/7) (4)²

⇒A = 50.28 cm²

Hope that helps...

Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

The original price of the shirt was $6.25

In this question, we have been given Archie bought a shirt on sale that was 20% less than the original price. The original price was $5 more than the sale price.

We need to find the original price.

Let the original price of the shirt be x and the sale price of the shirt is y

20x/100 = y

x/5 = y

x = 5y

Now the second equation that we get is

x = y + 5

5y - y = 5

4y = 5

y = 5/4

Now putting the value of y in the first equation we get

x = 5y

 = 5 (5/4)

 = 25/4

 = 6 1/4

 = $6.25

Then we can say that the original price of the shirt was $6.25

Therefore, the original price of the shirt was $6.25

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Answer:

Step-by-step explanation:

I realize that the time is passed.... but FYI

BD is Geometric Mean

That's mean BD² = 6 × 5 = 30 ⇒ BD = √30

x² = BD² + 6² = 30 + 36 = 66 ⇒ x = √66

y = √55

Answer: 66

Step-by-step explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion: AD/AC = AB/AD

Answer: dang that's tough but like look it up

Step-by-step explanation: give brainlyiest

Answer:

E=h*mg

Step-by-step explanation:

3=6/2

6=3*2................

Answer:

E=hmg

Explanation:

h=E/mg

*mg  *mg

hmg=E

(a) The solutions for x* and y* are given by equations (6) and (7), respectively. (b) When I = $24, Pₓ = $4, and Pᵧ = $2, the optimal values of x* and y* are x* = 16 and y* = 20, respectively.

(a) To solve for x* and y* in terms of Pₓ, Pᵧ, and I, we need to find the utility-maximizing bundle that satisfies the budget constraint.

The utility function is given as U(x, y) = x^(1/2) * y^(1/2).

The budget constraint is expressed as Pₓ * x + Pᵧ * y = I.

To maximize utility, we can use the Lagrange multiplier method. We form the Lagrangian function L(x, y, λ) = U(x, y) - λ(Pₓ * x + Pᵧ * y - I).

Taking the partial derivatives of L with respect to x, y, and λ and setting them equal to zero, we get:

∂L/∂x = (1/2) *\(x^(-1/2) * y^(1/2)\)- λPₓ = 0   ... (1)

∂L/∂y = (1/2) *\(x^(1/2) * y^(-1/2)\) - λPᵧ = 0   ... (2)

∂L/∂λ = Pₓ * x + Pᵧ * y - I = 0               ... (3)

Solving equations (1) and (2) simultaneously, we find:

\(x^(-1/2) * y^(1/2)\)= 2λPₓ   ... (4)

\(x^(1/2) * y^(-1/2)\)= 2λPᵧ   ... (5)

Dividing equation (4) by equation (5), we have:

\((x^(-1/2) * y^(1/2)) / (x^(1/2) * y^(-1/2))\) = (2λPₓ) / (2λPᵧ)

y/x = Pₓ/Pᵧ

Substituting this into equation (3), we get:

Pₓ * x + (Pₓ/Pᵧ) * x - I = 0

x * (Pₓ + Pₓ/Pᵧ) = I

x * (1 + 1/Pᵧ) = I

x = I / (1 + 1/Pᵧ)        ... (6)

Similarly, substituting y/x = Pₓ/Pᵧ into equation (3), we get:

Pᵧ * y + (Pᵧ/Pₓ) * y - I = 0

y * (Pᵧ + Pᵧ/Pₓ) = I

y * (1 + 1/Pₓ) = I

y = I / (1 + 1/Pₓ)        ... (7)

Therefore, the solutions for x* and y* are given by equations (6) and (7), respectively.

(b) Given I = $24, Pₓ = $4, and Pᵧ = $2, we can substitute these values into equations (6) and (7) to find the values of x* and y*.

x* = 24 / (1 + 1/2) = 16

y* = 24 / (1 + 1/4) = 20

So, when I = $24, Pₓ = $4, and Pᵧ = $2, the optimal values of x* and y* are x* = 16 and y* = 20, respectively.

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Suppose U(x,y)=x  1/2  y  1/2  and P  x ​  x+P  y ​  y=I a. Solve for x  ∗  (P  x ​  ,P  y ​  ,I) and y  ∗  (P  x ​  ,P  y ​  ,I). b. What are the values of x  ∗  (P  x ​  ,P  y ​  ,I) and y  ∗  (P  x ​  ,P  y ​  ,I) if I=$24,P  x ​  =$4 and,P  y ​  =$2?

A triangle's internal angles add up to a total of 180°. This indicates that a triangle's complete turn from one angle to another is equivalent to 180 degrees. Regardless of the triangle's size or shape, there is a link between the measurements of its internal angles.

The sum of the two angles' measurements would also equal 180° if we think of a straight line as a degenerate triangle with two of its angles each measuring 180°. So, the equation for the connection between two angles' measurements is:

Mangle1 + Mangle2 = 180°

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Answer:

B) mean: 79.7 median: 81 mode: 84

The probability of randomly picking out a book of poetry from a bookshelf depends on the total number of books on the shelf and the number of poetry books among them. If there are 10 books on the shelf and 2 of them are poetry books, then the probability of randomly picking out a poetry book is 2/10 or 1/5.

To calculate the odds in favor of choosing a book of poetry, we need to compare the number of favorable outcomes (picking a poetry book) to the number of unfavorable outcomes (picking a non-poetry book). In this case, the odds in favor of choosing a book of poetry would be 2:8 or 1:4, since there are 2 favorable outcomes (picking a poetry book) and 8 unfavorable outcomes (picking a non-poetry book) out of a total of 10 books.

In summary, the probability of randomly picking out a book of poetry from a bookshelf depends on the number of poetry books among the total number of books. The odds in favor of choosing a book of poetry can be calculated by comparing the number of favorable outcomes to the number of unfavorable outcomes.

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Answer:

y=-1/2x+3

Step-by-step explanation:

2y=6-x

y=-x/2+3

y=-1/2x+3

Answer:

y=-1/2(x)+3

Step-by-step explanation:

2y=-x+6

y = -1/2(x)+3

Answer:

I won't be able to physically point it but i'll try to explain

So put the first one where there is 1 on the bottom 2 on the left

The second put it with 3 to the bottom and 6 to the left

The third is with 6 on the bottom and 12 to the left

The fourth is with 9 on the bottom and 18 on the left

The sum of (8a + 2b - 4) and (3b - 5) is (8a + 5b - 9). We can find it in the following manner.

To find the sum of (8a + 2b - 4) and (3b - 5), we can simply add the corresponding coefficients of the variables a and b, as well as any constant terms.

So we have:

(8a + 2b - 4) + (3b - 5)

= 8a + 2b + 3b - 4 - 5 (grouping like terms)

= 8a + 5b - 9

Therefore, the sum of (8a + 2b - 4) and (3b - 5) is (8a + 5b - 9).

We can also explain this process by using the distributive property of addition over subtraction. This property states that the sum of two numbers with the same sign (positive or negative) can be found by adding their absolute values and keeping the common sign.

In this case, we can think of the expression (8a + 2b - 4) as the sum of three terms: 8a, 2b, and -4. Similarly, we can think of the expression (3b - 5) as the sum of two terms: 3b and -5.

Using the distributive property, we can add the terms with the same variable together:

(8a + 2b - 4) + (3b - 5)

= 8a + (2b + 3b) - (4 + 5)

= 8a + 5b - 9

Thus, we obtain the same result.

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Answer:  x=20  y=43

Step-by-step explanation:

That little symbol in <1 means that the angle is a right angle, which is = to 90°  so

<1 = 90°

133-y = 90        solve for y by subtracting 133 from both sides

-y = -43             divide by -1 on both sides

y=43

Because all 3 angles make a line, which is 180, and you know <1 = 90   then <2+<3=90 as well.

<2+<3=90

22 + x + 48 =90     simplify

70 + x =90              subtract 70 from both sides

x=20

Sophie invested $92,000 in an account paying an interest rate of 6 1/8% compounded continuously. Damian invested $92,000 in an account paying an interest rate of 6 5/8% compounded monthly. After 14 years, Damian would have more money in his account than Sophie.

To know the amount of money more that Damian would have in his account than Sophie, we have to calculate the value of the investment of both at the end of 14 years

.Investment made by Sophie is $92,000 with interest rate = 6 1/8%. The interest rate is in percentage so to use in the formula we have to convert it into decimal.6 1/8% = 6.125% = 0.06125

The formula for Continuously Compounded Interest is given as: A = Pe^{rt}

where, P is the principal amount

e is the mathematical constant (2.71828...)

r is the annual interest rate (as a decimal) and

t is the time in years

So, A = 92,000*e^(0.06125*14)

A = 92,000*e^0.8575

A = 92,000*2.3546

A = $216,633.42

So, Sophie will have $216,633.42 after 14 years on investing $92,000 at a rate of 6 1/8% compounded continuously. Now, Damian invested $92,000 in an account paying an interest rate of 6 5/8% compounded monthly. The interest rate is in percentage so to use in the formula we have to convert it into decimal.

6 5/8% = 6.625% = 0.06625

The formula for Monthly Compounded Interest is given as: A = P(1 + r/12)^(12t)

where, P is the principal amount

r is the annual interest rate (as a decimal

)t is the time in years

So, A = 92,000(1 + 0.06625/12)^(12*14)

A = 92,000(1 + 0.00552)^168

A = 92,000(1.00552)^168

A = $220,800.66So, Damian will have $220,800.66 after 14 years on investing $92,000 at a rate of 6 5/8% compounded monthly.

Now, to calculate the difference between Damian's investment and Sophie's investment after 14 years, we have to subtract the value of Sophie's investment from Damian's investment.

Damian's investment - Sophie's investment = $220,800.66 - $216,633.42 = $4,167.24Therefore, Damian will have $4,167.24 more money in his account than Sophie.

After 14 years, Damian will have $4,167.24 more money in his account than Sophie, to the nearest dollar.

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Answer: Its D i just took the test

Step-by-step explanation:

A distribution of scores on a driver's license test forms is normally shaped. This is an example of a symmetrical distribution is TRUE.

A symmetrical distribution is a distribution where there is an equal number of data points on both sides of the center point, in which the mean, mode, and median of a data set are all similar.

A normal distribution is a bell-shaped distribution that is symmetrical, with most of the data falling near the mean and progressively less toward the tails. When data are symmetrical, the mean and median values are similar, and the standard deviation can be used to compute the proportions of data within a range of values surrounding the mean.

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The expressions when simplified are -9 - 2i and x = ±8i

From the question, we have the following parameters that can be used in our computation:

(6 -7i) - (8 - 5i) - 7

When evaluated, we have

(6 -7i) - (8 - 5i) - 7 = -9 - 2i

Here, we have

6x² = -384

Divide by 6

x² = -64

Take the square roots

x = ±8i

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Cannot conclude mean pH < 7.0, p-value = 0.088.95% CI for mean pH: 6.44 to 6.92.

In view of the given data, we can play out a speculation test to decide if we can reason that the mean pH is under 7.0. Utilizing a one-followed t-test with an importance level of 0.05 and 5 levels of opportunity, we compute a t-measurement of - 1.475 and a p-worth of 0.088. Since the p-esteem is more prominent than the importance level, we neglect to dismiss the invalid speculation and reason that there isn't sufficient proof to help the case that the mean pH is under 7.0.

To find a 95% certainty span for the mean pH, we can utilize the recipe x ± tα/2 * (s/√n), where x is the example mean, s is the example standard deviation, n is the example size, and tα/2 is the t-an incentive for a two-followed test with a 95% certainty level and n-1 levels of opportunity. Connecting the qualities, we view the certainty stretch as 6.44 to 6.92. This implies we can be 95% certain that the genuine mean pH of the slop buildups falls inside this reach.

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Answer:

x = 15°

Step-by-step explanation:

Due to Alternate Exterior Angles, we can tell that '5x = 75'. Now, let's simplify x.

=> 5x = 75

=> 5x/5 = 75/5

=> x = 15

Therefore, 'x = 15°'

Hoped this helped.

Answer:

sam and eric are going on a trip and thought to rent a car. they have to pay a fee of 30 dollars and an extra 7 dollar for each hour they take. sam and eric's are planned to spend $205 or less. how many hours can eric and sam rent the car?

Step-by-step explanation:

first assign a value for the variable, I will take H as hours

Answer:

Sorry i dont know

Step-by-step explanation:

To find the values of A and B in the function f(x) = Ax^3 + Bx^2 - 5, given that it has a critical point at (4/3, -77/9), we can use the first derivative.

Step 1: Find the first derivative of f(x).

\(f'(x) = 3Ax^2 + 2Bx\)

Step 2: Substitute the x-coordinate of the critical point (4/3) into the first derivative.

\(f'(4/3) = 3A(4/3)^2 + 2B(4/3)\)

Step 3: Simplify the expression obtained in Step 2.

f'(4/3) = 4A + 8B/3

Step 4: Set the derivative equal to zero since we have a critical point.

4A + 8B/3 = 0

Step 5: Solve the equation obtained in Step 4 for one of the variables. Let's solve for A.

4A = -8B/3

A = -2B/9

Step 6: Substitute the value of A from Step 5 into the original function.

\(f(x) = (-2B/9)x^3 + Bx^2 - 5\)

Step 7: Substitute the x-coordinate of the critical point (4/3) and the y-coordinate (-77/9) into the function obtained in Step 6.

\((-2B/9)(4/3)^3 + B(4/3)^2 - 5 = -77/9\)

Step 8: Simplify and solve the equation obtained in Step 7 for B.

-32B/27 + 16B/9 - 5 = -77/9

-32B + 48B - 135 = -77

16B = 58

B = 58/16

B = 29/8

Step 9: Substitute the value of B from Step 8 into the equation from Step 5 to find A.

A = -2(29/8)/9

A = -58/72

A = -29/36

Therefore, the values of A and B are A = -29/36 and B = 29/8.

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Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

Answer:

  24.1 billion

Step-by-step explanation:

One way to write the logistic function is ...

  P(t) = AB/(A +(B-A)e^(-kt))

where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.

In billions, we have ...

  A = 5.3

  B = 100

  k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year

  t = 2450 -1990 = 460

  \(P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}\)

Answer:

32  

Step-by-step explanation:

4+8 = 12  

12 + 6 = 18

18 x 2

= 32

hope i helped you!

Answer:

x = -8

Step-by-step explanation:

48/x = -8

48/-8 = x

-8 = x

x = -8

.

.

Hope it helps

Answer:

x = -6

Step-by-step explanation:

\(\frac{48}{x}=-8\\\\x(\frac{48}{x})=-8(x)\\\\48=-8x\\\\\frac{48}{-8}=\frac{-8x}{-8}\\\\-6=x\)

The true statements are

Total number of people that went to a theme park = 15 people
From the data in the histogram,

The x axis of the histogram represents the time spend in the line and y axis represents the number of people.

From the histogram we have to check each given statement

1 person was in the line for at least 150 minutes, this is a true statement

3 people were in the line for less than 50 minutes, this is a true statement

Most people spent over 100 minutes in the line, this is wrong statement

1 person spent 0 minutes in the line, this is true statement

No one spent exactly 125 minutes in the line, this is true statement.

Hence, the true statements are

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Individuals are often accurate in predicting what would make them happy.

The correct option is B.

Happiness is a feeling of contentment, that life is just as it should be. Perfect happiness, enlightenment, comes when you have all of your needs satisfied. While the perfect happiness of enlightenment may be hard to achieve, and even harder to maintain, happiness is not an either /or case.

The statements that are considered truly related to happiness are as follows;

Hence, Individuals are often accurate in predicting what would make them happy.

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Answer:

B. Individuals are often accurate in predicting what would make them happy.

Explanation:

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